What is the Greatest Common Factor of 36396 and 36401?

Greatest common factor (GCF) of 36396 and 36401 is 1.

GCF(36396,36401) = 1

We will now calculate the prime factors of 36396 and 36401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36396 and 36401.

How to find the GCF of 36396 and 36401?

We will first find the prime factorization of 36396 and 36401. After we will calculate the factors of 36396 and 36401 and find the biggest common factor number .

Step-1: Prime Factorization of 36396

Prime factors of 36396 are 2, 3, 337. Prime factorization of 36396 in exponential form is:

36396 = 2² × 3³ × 337¹

Step-2: Prime Factorization of 36401

Prime factors of 36401 are 89, 409. Prime factorization of 36401 in exponential form is:

36401 = 89¹ × 409¹

Step-3: Factors of 36396

List of positive integer factors of 36396 that divides 36396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 337, 674, 1011, 1348, 2022, 3033, 4044, 6066, 9099, 12132, 18198

Step-4: Factors of 36401

List of positive integer factors of 36401 that divides 36396 without a remainder.

1, 89, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36396 and 36401. The biggest common factor number is the GCF number.
So the greatest common factor 36396 and 36401 is 1.

Also check out the Least Common Multiple of 36396 and 36401